If you haven't already done so,
collect solar data
for a couple weeks by looking at images from the SOHO spacecraft.

Arrange your copies or drawings of the solar disk
and sunspots in order from longest-ago to the present, and flip through
them slowly as if they were an animated "flip-book".
Are the sunspots permanent, or do they come and go?
Do they stay in the same place, or seem to move? If they move, do they move
in relatively straight lines or do they wander?

Galileo noticed that the spots seemed to move
directly across the disk of the Sun. He thought that, if they were on the surface of
the Sun, their movement might indicate that the Sun was rotating. What do you think?